MASS BALANCE ( MATERIAL BALANCE )

(Classroom notes distributed 8/30/2002)

Types of Operation:

  1. Batch Operation:
Steps:
      1. Feed is charged into vessel
      2. Process is started
      3. No mass is added or removed from vessel ( temperature and pressure are usually monitored and controlled )
      4. At some conditions or fixed time, products are removed
  1. Continuous Operation: input and output flow continuously
  2. Semi-batch Operation: neither batch nor continuous
  Batch Continuous
Advantages Flexibility

Small scale

Economical for large production
Disadvantages Cost of Startup/Shutdown Not as flexible

 
 
 

General Balance Equation

Main Principle: mass is always conserved, i.e. mass can not be created nor destroyed

Types of Process Condition:

    1. Transient : values are changing with time
    2. Steady State: values are not changing with time ( rate of accumulation = 0 )
TOTAL MASS BALANCE EQUATION:

COMPONENT MASS BALANCE:

INTEGRAL BALANCES:

TOTAL MASS INTEGRAL BALANCE:

COMPONENT MASS INTEGRAL BALANCE:


 
 

NOTE: For a batch process, if we let t1 be the time prior to charging the feed and let t2 be the time after all the products are removed, then the amount accumulated is still 0. Thus in this special case,
 
 

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Flowcharts

Guidelines:

  1. Understand the process
  2. Be careful of the arrows
  3. Take gravity into consideration
suggested conventions:
  1. Note that some streams do not necessarily mix (ex. heat exchangers)




Last updated 8/30/2002
Dr. Tomas B. Co
Associate Professor
Department of Chemical Engineering
Michigan Technological University
Houghton MI 49930

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